How Long to Read Smoothings of Piecewise Linear Manifolds

How Long Does it Take to Read Smoothings of Piecewise Linear Manifolds?

It takes the average reader 2 hours and 32 minutes to read Smoothings of Piecewise Linear Manifolds by Morris W. Hirsch

Assuming a reading speed of 250 words per minute. Learn more

Description

The intention of the authors is to examine the relationship between piecewise linear structure and differential structure: a relationship, they assert, that can be understood as a homotopy obstruction theory, and, hence, can be studied by using the traditional techniques of algebraic topology. Thus the book attacks the problem of existence and classification (up to isotopy) of differential structures compatible with a given combinatorial structure on a manifold. The problem is completely "solved" in the sense that it is reduced to standard problems of algebraic topology. The first part of the book is purely geometrical; it proves that every smoothing of the product of a manifold M and an interval is derived from an essentially unique smoothing of M. In the second part this result is used to translate the classification of smoothings into the problem of putting a linear structure on the tangent microbundle of M. This in turn is converted to the homotopy problem of classifying maps from M into a certain space PL/O. The set of equivalence classes of smoothings on M is given a natural abelian group structure.

How long is Smoothings of Piecewise Linear Manifolds?

Smoothings of Piecewise Linear Manifolds by Morris W. Hirsch is 148 pages long, and a total of 38,184 words.

This makes it 50% the length of the average book. It also has 47% more words than the average book.

How Long Does it Take to Read Smoothings of Piecewise Linear Manifolds Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 28 minutes to read Smoothings of Piecewise Linear Manifolds aloud.

What Reading Level is Smoothings of Piecewise Linear Manifolds?

Smoothings of Piecewise Linear Manifolds is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Smoothings of Piecewise Linear Manifolds?

Smoothings of Piecewise Linear Manifolds by Morris W. Hirsch is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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